Question

How can we use transformations to find the vertical asymptote of a logarithmic functions. I can't figure this out.

Answer 1

@JDETSC

Answer 2

@agent0smith

Answer 3

Be more specific, not really sure what you're asking. Post an example.

Answer 4

idk that's the question my teacher is asking, that's why I'm stuck it makes no sense.

Answer 5

If you mean something like y = log(x+5)
then that is the graph of y = logx, but shifted 5 units left.... when means the vertical asymptote shifts 5 units left.

Do you know the vertical asymptote of y=logx?

Answer 6

x=0

Answer 7

I guess that makes sense although that's not how he worded the question that's probably what he's asking. Thank you.

Answer 8

Well idk what to make of the actual question.

You could make it general by saying that for y=log(x - a), the vertical asymptote is x=a.

Answer 9

okay, how do I give a medal or something because I registered just for this question.

Answer 10

nvm